Question

Planes P and Q leave an airport at the same time and travel in opposite directions. Plane P travels 50 miles per hour faster than plane Q. How fast is plane P traveling if they are 1,600 miles apart after 2 hours?
(A) 350
(B) 375
(C) 425
(D) 475
(E) 500

Answer 1

I got and answer of 425 which is (c).

Here is how I arrived at the answer:

d=(r)(t) This is the distance formula

P=50+Q This is plane P's travel rate

d=(r)(t)
1600=(50+Q)(2)+(Q)(2)
1600=100+2Q+2Q
1600=100+4Q
1500=4Q
375=Q This is Q's rate

P=50+Q
P=50+375
P=425 miles per hour

Answer 2

thx

Answer 3

You're welcome